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ki77a [65]
3 years ago
11

Determine whether each triangle with sides of given lengths is a right triangle. Justify your answer by using the

Mathematics
1 answer:
damaskus [11]3 years ago
6 0

Answer:

It is a right triangle

Step-by-step explanation:

Ok, so the √113 ≈ 10.6

So we we know that that is the biggest side.

The pythagorean theorem : a² + b² = c², where a and b are the legs ( the two smaller sides) and c is the hypotenuse (the longest side of the triangle)

We can input what we know, as 7 and 8 are the smallest sides and √113 is the longest

7² + 8² = (√113)²

49 + 64 = 113

113 = 113

This is a right triangle.

-Chetan K

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An automobile insurance company divides customers into three categories, good risks, medium risks, and poor risks. Assume that 7
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Answer:

There is a 0.64% probability that the costumer has filed a claim.

Step-by-step explanation:

Probability:

What you want to happen is the desired outcome.

Everything that can happen iis the total outcomes.

The probability is the division of the number of possible outcomes by the number of total outcomes.

Our problem has these following probabilities:

-78% that a costumer is a good risk.

-20% that a costumer is a medium risk.

-2% that a costumer is a poor risk.

Also:

- 0.5% of a good risk costumer filling an accident claim

- 1% of a medium risk costumer filling an accident claim.

-2.5% of a poor risk costumer filling an accident claim.

The question is:

What is the probability that the customer has filed a claim?

P = P_[1} + P_{2} + P_{3}, in which:

-P_{1} is the probability that a good risk costumer is chosen and files a claim. This probability is: the probability of a good risk costumer being chosen multiplied by the probability that a good risk costumer files a claim. So:

P_[1} = 0.78*0.005 = 0.0039

-P_{2} is the probability that a medium risk costumer is chosen and files a claim. This probability is: the probability of a medium risk costumer being chosen multiplied by the probability that a medium risk costumer files a claim. So:

P_[2} = 0.20*0.01 = 0.002

-P_{3} is the probability that a poor risk costumer is chosen and files a claim. This probability is: the probability of a poor risk costumer being chosen multiplied by the probability that a poor risk costumer files a claim. So:

P_[3} = 0.02*0.025 = 0.0005

P = P_[1} + P_{2} + P_{3} = 0.0039 + 0.002 + 0.0005 = 0.0064

There is a 0.64% probability that the costumer has filed a claim.

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3 years ago
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